Acronym se
Name small icosiicosahedron,
compound of 5 oct
Coxeter symbol [5{3,4}]2{3,5}
 
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Circumradius 1/sqrt(2) = 0.707107
Inradius 1/sqrt(6) = 0.408248
Vertex figure [34]
General of army id
Colonel of regiment (is itself locally convex)
Dihedral angles
(at margins)
  • between {3} and {3}:   arccos(-1/3) = 109.471221°
Confer dissit (hidsit)   addasi  
External
links
hedrondude   wikipedia   mathworld

The common intersection of se is a (scaled) ike.

It occurs in 2 different forms because of pairwise coincident face planes, thus those triangles can be counted non-the-less separately (type A), or they are considered combined as a (non-regular) 2-triangle-compound (type B).


Incidence matrix

(Type A)

 30 |  4 |  4 || 1
----+----+----++--
  2 | 60 |  2 || 1
----+----+----++--
  3 |  3 | 40 || 1
----+----+----++--
 6 | 12 |  8 || 5

(Type B)

 30 |  4 |  4 || 1
----+----+----++--
  2 | 60 |  2 || 1
----+----+----++--
  6 |  6 | 20 || 2
----+----+----++--
 6 | 12 |  8 || 5

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